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Finding the Fourth Proportional to 2,415.87, 3,621.01 and 1,114.63

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Solution

The fourth proportional to 2,415.87, 3,621.01 and 1,114.63 is: 1,670.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.87 : 3,621.01 = 1,114.63 : x
  2. Step 2: Convert to fraction form
    2,415.87/3,621.01 = 1,114.63/x
  3. Step 3: Cross multiply
    2,415.87x = 3,621.01 × 1,114.63
  4. Step 4: Simplify right side
    2,415.87x = 4,036,080.80
  5. Step 5: Solve for x
    x = 4,036,080.80/2,415.87
  6. Step 6: Final answer
    x = 1,670.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.